A new approach to quantum backflow

Details A new approach to quantum backflow A new approach to quantum backflow

2005-11-11

arxiv.org/abs/quant-ph/0511109v1

J. Phys. A: Math. Gen. 39 423-433 (2006)

Physics

Quantum Physics

12 pages, 8 figures

Scientific paper

10.1088/0305-4470/39/2/012

We derive some rigorous results concerning the backflow operator introduced by Bracken and Melloy. We show that it is linear bounded, self adjoint, and not compact. Thus the question is underlined whether the backflow constant is an eigenvalue of the backflow operator. From the position representation of the backflow operator we obtain a more efficient method to determine the backflow constant. Finally, detailed position probability flow properties of a numerical approximation to the (perhaps improper) wave function of maximal backflow are displayed.

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